Description:Half equilateral triangles (30°-60°-90° triangles) are positioned recursively, with the side of one triangle as the hypotenuse of the next. A circle is inscribed in each triangle. The three triangles meet at one point to form a right angle. Explain how this construction divides that right angle into six equal angles. The data file for Dr Geo is also on i2geo.net as Spiralofthreehalfequilateraltriangles.drgeo

Half equilateral triangles (30°-60°-90° triangles) are positioned recursively, with the side of one triangle as the hypotenuse of the next. A circle is inscribed in each triangle. The three triangles meet at one point to form a right angle. Explain how this construction divides that right angle into six equal angles. The data file for Dr Geo is also on i2geo.net as Spiralofthreehalfequilateraltriangles.drgeo

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